Cremona's table of elliptic curves

107640 = 2³ · 3² · 5 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
107640a (2 curves)	1	2+ 3+ 5+ 13+ 23+	2+ 3+ 5+  4 -4 13+ -2  2
Curve Equation t Generators 107640a1 [0,0,0,42,153] 2 [1:14:1] 107640a2 [0,0,0,-303,1602] 2 [-9:60:1]
107640b (2 curves)	2	2+ 3+ 5+ 13+ 23-	2+ 3+ 5+  0 -4 13+  6 -2
Curve Equation t Generators 107640b1 [0,0,0,-108918,13834233] 2 [216:621:1]&[-56:4445:1] 107640b2 [0,0,0,-100143,16156098] 2 [151:2116:1]&[-2782:23903:8]
107640c (1 curve)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+  3  5 13-  4 -6
Curve Equation t 107640c1 [0,0,0,-243,8478] 1
107640d (1 curve)	1	2+ 3+ 5- 13+ 23-	2+ 3+ 5-  3 -3 13+  0 -6
Curve Equation t Generators 107640d1 [0,0,0,-3154707,-2156762754] 1 [3046841551610411439525:817896687943765041444348:42255827208890443]
107640e (4 curves)	0	2+ 3- 5+ 13+ 23+	2+ 3- 5+  0  0 13+  6 -4
Curve Equation t 107640e1 [0,0,0,1257,553322] 2 107640e2 [0,0,0,-93963,10818038] 4 107640e3 [0,0,0,-218163,-23784082] 2 107640e4 [0,0,0,-1493283,702361982] 2
107640f (1 curve)	2	2+ 3- 5+ 13+ 23+	2+ 3- 5+  1  0 13+ -3 -6
Curve Equation t Generators 107640f1 [0,0,0,-53148,4716052] 1 [134:-18:1]&[162:598:1]
107640g (2 curves)	2	2+ 3- 5+ 13+ 23+	2+ 3- 5+ -2  0 13+  6 -6
Curve Equation t Generators 107640g1 [0,0,0,-2838,1537] 2 [-39:230:1]&[-28:243:1] 107640g2 [0,0,0,-30783,-2071982] 2 [-97:36:1]&[362:5850:1]
107640h (2 curves)	1	2+ 3- 5+ 13+ 23-	2+ 3- 5+  0  6 13+  0  0
Curve Equation t Generators 107640h1 [0,0,0,1257,-9142] 2 [34:270:1] 107640h2 [0,0,0,-5763,-77938] 2 [86:250:1]
107640i (6 curves)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  0  4 13-  6  4
Curve Equation t 107640i1 [0,0,0,2742,-2947007] 2 107640i2 [0,0,0,-292503,-59574998] 4 107640i3 [0,0,0,-657003,118519702] 4 107640i4 [0,0,0,-4651923,-3861861122] 2 107640i5 [0,0,0,2080797,850607422] 2 107640i6 [0,0,0,-9226803,10784492782] 2
107640j (6 curves)	2	2+ 3- 5+ 13- 23-	2+ 3- 5+  0 -4 13- -2 -4
Curve Equation t Generators 107640j1 [0,0,0,-36858,-2700943] 2 [-116:117:1]&[-103:52:1] 107640j2 [0,0,0,-64983,1984682] 4 [-194:2700:1]&[-113:2808:1] 107640j3 [0,0,0,245517,15460382] 2 [-49:1820:1]&[82:6012:1] 107640j4 [0,0,0,-825483,288388982] 4 [-934:15640:1]&[391:5040:1] 107640j5 [0,0,0,-614883,439052222] 2 [742:19782:1]&[1094:32798:1] 107640j6 [0,0,0,-13204083,18467600942] 2 [2102:322:1]&[20594:2912168:1]
107640k (2 curves)	1	2+ 3- 5- 13+ 23+	2+ 3- 5-  2 -4 13+  2 -2
Curve Equation t Generators 107640k1 [0,0,0,-17742,-900799] 2 [-80:81:1] 107640k2 [0,0,0,-32367,798626] 2 [235:2484:1]
107640l (2 curves)	1	2+ 3- 5- 13+ 23+	2+ 3- 5- -2  0 13+ -6  6
Curve Equation t Generators 107640l1 [0,0,0,-696191142,7069774334249] 2 [16408:253125:1] 107640l2 [0,0,0,-11138806767,452487012679874] 2 [62659:741060:1]
107640m (2 curves)	1	2+ 3- 5- 13+ 23+	2+ 3- 5- -2  6 13+  0  0
Curve Equation t Generators 107640m1 [0,0,0,-8868747,-10172472586] 2 [148121800938751168:-14384018749358177595:14271103369216] 107640m2 [0,0,0,-141925827,-650789089954] 2 [-374443721882:-969939360:54439939]
107640n (2 curves)	1	2+ 3- 5- 13+ 23+	2+ 3- 5- -4  2 13+  4 -4
Curve Equation t Generators 107640n1 [0,0,0,-2487,-181334] 2 [110:936:1] 107640n2 [0,0,0,-65667,-6461426] 2 [-145:108:1]
107640o (2 curves)	0	2+ 3- 5- 13+ 23-	2+ 3- 5-  2  0 13+  2  6
Curve Equation t 107640o1 [0,0,0,-609582,-183187631] 2 107640o2 [0,0,0,-612687,-181227134] 2
107640p (2 curves)	2	2+ 3- 5- 13+ 23-	2+ 3- 5- -2  0 13+ -2 -6
Curve Equation t Generators 107640p1 [0,0,0,-1182,-6919] 2 [-28:65:1]&[-23:90:1] 107640p2 [0,0,0,-15807,-764494] 2 [-73:20:1]&[151:540:1]
107640q (4 curves)	0	2+ 3- 5- 13- 23+	2+ 3- 5-  0  4 13-  2 -4
Curve Equation t 107640q1 [0,0,0,-5682,160769] 4 107640q2 [0,0,0,-13287,-360934] 4 107640q3 [0,0,0,40533,-2546026] 2 107640q4 [0,0,0,-188787,-31564834] 2
107640r (4 curves)	0	2+ 3- 5- 13- 23+	2+ 3- 5-  4  0 13- -2  0
Curve Equation t 107640r1 [0,0,0,-10362,-377791] 2 107640r2 [0,0,0,-34167,1988426] 4 107640r3 [0,0,0,69333,11696726] 2 107640r4 [0,0,0,-518547,143718014] 2
107640s (1 curve)	1	2+ 3- 5- 13- 23-	2+ 3- 5-  3  0 13-  3 -2
Curve Equation t Generators 107640s1 [0,0,0,-1452,-69964] 1 [70:414:1]
107640t (1 curve)	1	2+ 3- 5- 13- 23-	2+ 3- 5- -5 -2 13-  5 -6
Curve Equation t Generators 107640t1 [0,0,0,7856268,34791029444] 1 [9538:988650:1]
107640u (1 curve)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  3  3 13+  0 -6
Curve Equation t 107640u1 [0,0,0,-350523,79880102] 1
107640v (2 curves)	1	2- 3+ 5- 13+ 23+	2- 3+ 5-  0  4 13+ -6 -2
Curve Equation t Generators 107640v1 [0,0,0,-12102,-512379] 2 [145:884:1] 107640v2 [0,0,0,-11127,-598374] 2 [9220:56831:64]
107640w (2 curves)	0	2- 3+ 5- 13+ 23-	2- 3+ 5-  4  4 13+  2  2
Curve Equation t 107640w1 [0,0,0,378,-4131] 2 107640w2 [0,0,0,-2727,-43254] 2
107640x (1 curve)	1	2- 3+ 5- 13- 23-	2- 3+ 5-  3 -5 13- -4 -6
Curve Equation t Generators 107640x1 [0,0,0,-27,-314] 1 [35:204:1]
107640y (1 curve)	1	2- 3- 5+ 13+ 23+	2- 3- 5+ -3  0 13+ -3 -6
Curve Equation t Generators 107640y1 [0,0,0,-363,-2122] 1 [-13:20:1]
107640z (2 curves)	0	2- 3- 5+ 13+ 23-	2- 3- 5+  2  4 13+  2  2
Curve Equation t 107640z1 [0,0,0,-26238,-1609787] 2 107640z2 [0,0,0,-54183,2419882] 2
107640ba (4 curves)	0	2- 3- 5+ 13- 23+	2- 3- 5+  4  4 13- -2 -4
Curve Equation t 107640ba1 [0,0,0,-13458,-600923] 2 107640ba2 [0,0,0,-13503,-596702] 4 107640ba3 [0,0,0,-1803,-1595882] 2 107640ba4 [0,0,0,-25923,672622] 2
107640bb (4 curves)	1	2- 3- 5+ 13- 23-	2- 3- 5+  0 -4 13-  2  4
Curve Equation t Generators 107640bb1 [0,0,0,-15978,-927227] 2 [44545:776952:125] 107640bb2 [0,0,0,-269103,-53729102] 4 [1427:49680:1] 107640bb3 [0,0,0,-282603,-48040202] 4 [-373:2340:1] 107640bb4 [0,0,0,-4305603,-3438738002] 2 [2402:8820:1]
107640bc (2 curves)	1	2- 3- 5+ 13- 23-	2- 3- 5+  2 -2 13-  0 -8
Curve Equation t Generators 107640bc1 [0,0,0,30957,-1410658] 2 [1291:46800:1] 107640bc2 [0,0,0,-151563,-12398362] 2 [-178:2990:1]
107640bd (1 curve)	0	2- 3- 5- 13+ 23+	2- 3- 5- -5  0 13+  3  6
Curve Equation t 107640bd1 [0,0,0,-14427,-658746] 1
107640be (1 curve)	1	2- 3- 5- 13+ 23-	2- 3- 5-  3 -2 13+ -3 -2
Curve Equation t Generators 107640be1 [0,0,0,-7150212,-7359927084] 1 [5532:-349830:1]
107640bf (2 curves)	1	2- 3- 5- 13- 23+	2- 3- 5- -2  0 13-  2  4
Curve Equation t Generators 107640bf1 [0,0,0,17853,-5167186] 2 [163:1440:1] 107640bf2 [0,0,0,-361227,-78936154] 2 [3322:188100:1]
107640bg (4 curves)	0	2- 3- 5- 13- 23-	2- 3- 5-  0  4 13-  2  0
Curve Equation t 107640bg1 [0,0,0,3678,76741] 4 107640bg2 [0,0,0,-20127,709954] 4 107640bg3 [0,0,0,-131907,-17912594] 2 107640bg4 [0,0,0,-289227,59858134] 2
107640bh (4 curves)	0	2- 3- 5- 13- 23-	2- 3- 5-  4  4 13- -2 -8
Curve Equation t 107640bh1 [0,0,0,-336708282,-2364097034531] 2 107640bh2 [0,0,0,-551941887,1026133571266] 4 107640bh3 [0,0,0,2155257933,8117372779774] 2 107640bh4 [0,0,0,-6702879387,210909653133766] 4

Data from Elliptic Curve Data by J. E. Cremona.
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